[ספר][B] Implicit-explicit methods for evolutionary partial differential equations
S Boscarino, L Pareschi, G Russo - 2024 - SIAM
Excerpt This book focuses on IMEX methods, with particular emphasis on their application to
systems of PDEs. IMEX methods have proven to be highly effective for solving a wide range …
systems of PDEs. IMEX methods have proven to be highly effective for solving a wide range …
High order modal discontinuous Galerkin implicit–explicit Runge Kutta and linear multistep schemes for the Boltzmann model on general polygonal meshes
Deterministic solutions of the Boltzmann equation represent a real challenge due to the
enormous computational effort which is required to produce such simulations and often …
enormous computational effort which is required to produce such simulations and often …
Projective integration schemes for hyperbolic moment equations
In this paper, we apply projective integration methods to hyperbolic moment models of the
Boltzmann equation and the BGK equation, and investigate the numerical properties of the …
Boltzmann equation and the BGK equation, and investigate the numerical properties of the …
A collision-based hybrid method for the BGK equation
We apply the collision-based hybrid method introduced by Hauck and McClarren [1] to the
Boltzmann equation with the BGK operator and a hyperbolic scaling. An implicit treatment of …
Boltzmann equation with the BGK operator and a hyperbolic scaling. An implicit treatment of …
[HTML][HTML] Hierarchical micro-macro acceleration for moment models of kinetic equations
Fluid dynamical simulations are often performed using cheap macroscopic models like the
Euler equations. For rarefied gases under near-equilibrium conditions, however …
Euler equations. For rarefied gases under near-equilibrium conditions, however …
[HTML][HTML] Projective integration for hyperbolic shallow water moment equations
In free surface flows, shallow water models simplify the flow conditions by assuming a
constant velocity profile over the water depth. Recently developed Shallow Water Moment …
constant velocity profile over the water depth. Recently developed Shallow Water Moment …
[HTML][HTML] Projective integration methods in the Runge–Kutta framework and the extension to adaptivity in time
Projective Integration methods are explicit time integration schemes for stiff ODEs with large
spectral gaps. In this paper, we show that all existing Projective Integration methods can be …
spectral gaps. In this paper, we show that all existing Projective Integration methods can be …
Spatially adaptive projective integration schemes for stiff hyperbolic balance laws with spectral gaps
Stiff hyperbolic balance laws exhibit large spectral gaps, especially if the relaxation term
significantly varies in space. Using examples from rarefied gases and the general form of the …
significantly varies in space. Using examples from rarefied gases and the general form of the …
Moment models for neutral particles in high-collisional regimes for plasma edge simulations
Neutral particles play an important role in the plasma edge of a fusion machine, protecting
the power exhaust against excessive heat loads due to the incoming plasma. The neutral …
the power exhaust against excessive heat loads due to the incoming plasma. The neutral …
Projective and telescopic projective integration for non-linear kinetic mixtures
We propose fully explicit projective integration and telescopic projective integration schemes
for the multispecies Boltzmann and Bhatnagar-Gross-Krook (BGK) equations. The methods …
for the multispecies Boltzmann and Bhatnagar-Gross-Krook (BGK) equations. The methods …